Remarks on the remainder in Birkhoff's ergodic theorem

  • G. Halász


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  1. [1]
    M. Smorodinsky,Ergodic Theory, Entropy. Lecture Notes in Mathematics 214, Springer Verlag.Google Scholar
  2. [2]
    E. Hecke, Analytische Funktionen und die Verteilung von Zahlen mod. eins,Abh. Math. Semin. Hamburg Univ.,1 (1922), 54–76.Google Scholar
  3. [3]
    H. Kesten, On a conjecture of Erdős and Szüsz related to uniform distribution mod 1,Acta Arithm. XII (1966), 193–212.Google Scholar
  4. [4]
    H. Furstenberg, H. Keynes andL. Shapiro, Prime flows in topological dynamics,Israel J. Math.,14(1) (1973), 26–38.Google Scholar
  5. [5]
    Vera T. Sós, On the distribution of the sequence (nα),Tagungsbericht, Math. Inst. Oberwolfach,28 (1972).Google Scholar
  6. [6]
    S. Kakutani, Induced measure preserving transformations,Proc. Imp. Acad. Tokyo,19 (1943), 635–641.Google Scholar

Copyright information

© Akadémiai Kiadó 1976

Authors and Affiliations

  • G. Halász
    • 1
  1. 1.Mathematical Institute of the Hungarian Academy of SciencesBudapest

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